16429754880000 has 3900 divisors, whose sum is σ = 78267903041328. Its totient is φ = 3413975040000.

The previous prime is 16429754879999. The next prime is 16429754880017. The reversal of 16429754880000 is 8845792461.

It is a happy number.

16429754880000 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 97 + 548 + 8 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 1493614079995 + ... + 1493614080005.

Almost surely, 2^{16429754880000} is an apocalyptic number.

16429754880000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16429754880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39133951520664).

16429754880000 is an abundant number, since it is smaller than the sum of its proper divisors (61838148161328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16429754880000 is an frugal number, since it uses more digits than its factorization.

16429754880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 16429754880000 in words is "sixteen trillion, four hundred twenty-nine billion, seven hundred fifty-four million, eight hundred eighty thousand".